Question

3/8 will terminate after how many decimal places

Answer 1

Step-by-step explanation:

Given:3/8 will terminate after how many decimal places

To find :No. of digits after decimal place

Solution:

we know that we can find the number is terminating or not with the help of prime factorisation of denominator when number is simple rational number.

Here, in 3/8

3 and 8 are Co-prime,

factors of 8 are= 2×2×2

Number have terminating decimal expansion,

To find number of digits after decimal point,without actual division

$\frac{3}{8} = \frac{3}{ {2}^{3} } \\ \\ = \frac{3 \times {5}^{3} }{ {2}^{3} \times {5}^{3} } \\ \\ = \frac{3 \times 125}{({10)}^{3} } \\ \\ = \frac{375}{1000} \\ \\ = 0.375 \\ \\ \frac{3}{8} = 0.375$

Thus,

3/8 will terminate after 3 decimal places.

Hope it helps you.

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Answer 2

Step-by-step explanation:

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